In Exercises 1–24, find an antiderivative for

Chapter 4, Problem 17E

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QUESTION:

In Exercises 1–24, find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

a. \(\csc x \cot x\)         b. \(-\csc 5 x \cot 5 x\)                  c. \(-\pi \csc \frac{\pi x}{2} \cot \frac{\pi x}{2}\)

Equation Transcription:

Text Transcription:

csc x cot x

-csc 5x cot 5x

-pi csc frac pi x / 2 cot frac pi x / 2

Questions & Answers

QUESTION:

In Exercises 1–24, find an antiderivative for each function. Do as many as you can mentally. Check your answers by differentiation.

a. \(\csc x \cot x\)         b. \(-\csc 5 x \cot 5 x\)                  c. \(-\pi \csc \frac{\pi x}{2} \cot \frac{\pi x}{2}\)

Equation Transcription:

Text Transcription:

csc x cot x

-csc 5x cot 5x

-pi csc frac pi x / 2 cot frac pi x / 2

ANSWER:

Solution:

Step 1 of 5:

In this problem, we need to find the antiderivative or indefinite integral.

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